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unit circle



this is a unit circle

Question:What is the exact answer of Sin of 120 degrees?
.8660

What is the exact answer of Cos of 130 Degrees?


Extended Angle Measures
Imagine a ray with its endpoints at the origin of a coordinate plane and extended along the positive
x- axis. Then imagine the ray rotating a certain number of degrees, say 0, counterclockwise about the
origin. As the illustration shows, 0 can be any number of degrees, including numbers greater than 360 dergrees
A figure formed by a rotating ray and a stationary reference ray, such as a positive x-axis, is called an
angle of rotation.

thetha
So far, trigonometric ratios have been defined in terms of acute angles of right triangles. But it is important to define the trigonometric ratios for other angles.

Unit circle definition of sine and Cosine- the thetha be a rotation angle. then the sine of thetha is the y-coordinante of the image of point p(1,0) ratated the thetha about the origin and cos thetha is the x-coordinate.